#include<iostream>
#include<vector>
#include<string>
using namespace std;


int editDistance(string str1, string str2) {
    int m = str1.size(), n = str2.size();
    vector<vector<int>>dp(m + 1, vector<int>(n + 1, 0));
    for (int i = 0; i <= m; i++) {
        dp[i][0] = i;
    }
    for (int j = 0; j <= n; j++) {
        dp[0][j] = j;
    }
    for (int i = 1; i <= m; i++) {
        for (int j = 1; j <= n; j++) {
            if (str1[i - 1] == str2[j - 1]) dp[i][j] = dp[i - 1][j - 1];
            else {
                dp[i][j] = min(dp[i][j - 1] + 1, min(dp[i - 1][j] + 1, dp[i - 1][j - 1] + 1));
            };
        }
    }
    return dp[m][n];
}

int main()
{
    string str1 = "nowcoder";
    string str2 = "new";

    editDistance(str1, str2);
    return 0;
}